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Finding the Fourth Proportional to 214,953.71, 296,636.27 and 119,460.38

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Solution

The fourth proportional to 214,953.71, 296,636.27 and 119,460.38 is: 164,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,953.71 : 296,636.27 = 119,460.38 : x
  2. Step 2: Convert to fraction form
    214,953.71/296,636.27 = 119,460.38/x
  3. Step 3: Cross multiply
    214,953.71x = 296,636.27 × 119,460.38
  4. Step 4: Simplify right side
    214,953.71x = 35,436,281,535.98
  5. Step 5: Solve for x
    x = 35,436,281,535.98/214,953.71
  6. Step 6: Final answer
    x = 164,855.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.